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Finding the Fourth Proportional to 16,316.34, 24,475.01 and 7,765.95

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Solution

The fourth proportional to 16,316.34, 24,475.01 and 7,765.95 is: 11,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.34 : 24,475.01 = 7,765.95 : x
  2. Step 2: Convert to fraction form
    16,316.34/24,475.01 = 7,765.95/x
  3. Step 3: Cross multiply
    16,316.34x = 24,475.01 × 7,765.95
  4. Step 4: Simplify right side
    16,316.34x = 190,071,665.08
  5. Step 5: Solve for x
    x = 190,071,665.08/16,316.34
  6. Step 6: Final answer
    x = 11,649.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.